Question

Couple of Trig Questions http://prntscr.com/47dqu3

Answer 1

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Answer 2

The angle that you have in radians is equal to 105 degrees. Since my mind works better in degrees, I converted it, and found that the angle lie in QII with a coterminal angle of 75 degrees. That is a 45 degree angle plus a 30 degree angle, so you could use tan(A+B) to find the exact value of that angle. Do you know that identity? It is a sum identity.

Answer 3

\[\tan(45+30)=\frac{ \tan(45)+\tan(30) }{ 1-\tan(45)\tan(30) }\]

Answer 4

Let's look at what the tangent of 45 and the tangent of 30 are.

Answer 5

Now we can easily do the math using those values. We will get an exact value of what you're looking for that way.

Answer 6

\[\tan(45+30)=\frac{ 1+\frac{ \sqrt{3} }{ 3 } }{ 1-(1)(\frac{ \sqrt{3} }{ 3 }) }\]

Answer 7

FOllowing.

Answer 8

So just simplify that, and I'm done?

Answer 9

Yes, I'm doing that now...wasted a ton of time with the drawing tool then realized I was running out of room and it looked like a mess, so I'm writing it out by hand. Try it and let me know what you get. I will post in a sec...rationalizing denominators right now...

Answer 10

Ok, I'm going to do it again...